2729686956960 has 192 divisors, whose sum is σ = 8661989290752. Its totient is φ = 722555068416.

The previous prime is 2729686956929. The next prime is 2729686957003. The reversal of 2729686956960 is 696596869272.

2729686956960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58734052 + ... + 58780508.

It is an arithmetic number, because the mean of its divisors is an integer number (45114527556).

Almost surely, 2^{2729686956960} is an apocalyptic number.

2729686956960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729686956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330994645376).

2729686956960 is an abundant number, since it is smaller than the sum of its proper divisors (5932302333792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2729686956960 is a wasteful number, since it uses less digits than its factorization.

2729686956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47375 (or 47367 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 75.

The spelling of 2729686956960 in words is "two trillion, seven hundred twenty-nine billion, six hundred eighty-six million, nine hundred fifty-six thousand, nine hundred sixty".